Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
The statements about the number properties are true are the below:
A. The associative property applies to multiplication.
C. The associative property applies to addition.
D. The commutative property applies to multiplication.
The commutative cannot be apply to subtraction because of the changing the request of 6-2-1 to 2-6-1 is not a similar thing.
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Answer:
16/28 claims
Step-by-step explanation:
7/28
16/28
- You need to find common denominator. (use 28)
- If you would like a further explanation please let me know.
Lets start with the chain of 3's:
18 = 3 + 3 + 3 + 3 + 3 + 3
But, we know that
3 + 3 = 2 + 2 + 2
Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.
Hence, the possible ways of combinations are listed below:
18 = 3 + 3 + 3 + 3 + 2 + 2 + 2 (1)
18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2 (2)
Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.
